The Fibonacci Sequence

The golden ratio fascinates me. That’s why I’m delivering some well cooked copypasta from PonderAbout.com for your edutainment.

1.618 has been called nature’s number, the golden number and the golden ratio.

Pythagoras wrote that this mysterious number, “manifests in the whole of creation”

It can be seen in art, music, architecture, and in the structure of a surprising variety of living things, including humans

In its ubiquitousness, 1.618 is second only to pi

It can be obtained by taking ANY two numbers, adding them to make a third, (say 2 + 4 = 6),

then adding the second and third to make a fourth,
(4 + 6 = 10)

then adding the third and fourth to make a fifth,
(6 + 10 = 16)

repeating this process 20 times and dividing the 20th sum by the 19th

the answer will ALWAYS be very close to 1.618

also, take any two consecutive numbers in the sequence, divide the larger by the smaller, and the result should approximate 1.618

the greater the value of the numbers, the closer the result will be to 1.618

4/2 = 2.00
6/4 = 1.50
10/6 = 1.66
16/10 = 1.60
26/16 = 1.62
and so on

Italian mathematician Leonardo Fibonacci discovered this phenomenon in the 12th century

He began the sequence with zero, and obtained

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946 . . .

each of these numbers is known as a Fibonacci Number; and the sequence as a whole – the Fibonacci Sequence

Check out the video below for more on the Fibonacci sequence and nature’s number.

the soundtrack of the above video is an edit of a BBC 5 Numbers podcast.

Be sure to check out how the golden ratio can apply to things like your face as well.

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